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NDA2021MathematicsQuadratic EquationActual

If and are the roots of the equation a x^2+b x+c=0 , then which one of the following is correct?

Options

  1. Aa^2+b^2-2 a c=0
  2. B-a^2+b^2+2 a c=0
  3. Ca^2-b^2+2 a c=0
  4. Da^2+b^2+2 a c=0

Correct answer

C. a^2-b^2+2 a c=0

Step-by-step solution

Since, and are the roots of a x^2+b x+c=0 + = -b a and = c a we have, ( + )^2= ^2 + ^2 +2 . . a^2-b^2+2 a c=0

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